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What is the Least Common Multiple of 41919 and 41926?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 41919 and 41926 is 1757495994.

LCM(41919,41926) = 1757495994

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Least Common Multiple of 41919 and 41926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41919 and 41926, than apply into the LCM equation.

GCF(41919,41926) = 1
LCM(41919,41926) = ( 41919 × 41926) / 1
LCM(41919,41926) = 1757495994 / 1
LCM(41919,41926) = 1757495994

Least Common Multiple (LCM) of 41919 and 41926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41919 and 41926. First we will calculate the prime factors of 41919 and 41926.

Prime Factorization of 41919

Prime factors of 41919 are 3, 89, 157. Prime factorization of 41919 in exponential form is:

41919 = 31 × 891 × 1571

Prime Factorization of 41926

Prime factors of 41926 are 2, 20963. Prime factorization of 41926 in exponential form is:

41926 = 21 × 209631

Now multiplying the highest exponent prime factors to calculate the LCM of 41919 and 41926.

LCM(41919,41926) = 31 × 891 × 1571 × 21 × 209631
LCM(41919,41926) = 1757495994